There are 2.54 centimeters in 1 inch. How many centimeters are there in 1 foot? In 1 yard? Explain your reasoning.

1 answer:

6 0

There are 12 inches in a foot. You would have to multiply 2.54 by 12 and get 30.48 centimeters. in a yard there are 3 feet which means there are 36 inches. You would multiply 36 by 2.54 and get 91.44 centimeters.

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Given: PS=RT, PQ=ST Prove: QS=RS

ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5 0

3 years ago

HURRY DO ALL QUESTIONS PAST DUE

yKpoI14uk [10]

Answer:I’m only doing 3 and id k if I’m right either so lol but A is a reflection I think and I don’t think B is congruent which mean some of the size and not like right like they don’t match or something like that and to be nice on number 5 trace the tree up the blue zigzag yea trace it rly hard fold it then rub on the back of the paper the shape should end up on the other side that’s how I cheated try doing that with number 4 too

Step-by-step explanation:I’m sry if that doesn’t make sense I tryed

4 0

3 years ago

Graph the linear equations x=4

Anna11 [10]

A straight line vertically that goes the x coordinate 4.

7 0

4 years ago

The value of <img src="https://tex.z-dn.net/?f=%5Csin%20%5E%7B-1%7D%5Cleft%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5Cright%29-%5Csi

Mademuasel [1]

Answer:

$\displaystyle \frac{\pi}{6}$

Explanation:

According to the unit circle, $\displaystyle \frac{\pi}{3}$ and $\displaystyle \frac{\pi}{6}$ are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this: